Algebras of Hamieh and Abbas Used in the Dirac Equation

• 作者: Gregory Peter Wene
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: DIRAC Equation JORDAN ALGEBRA QUADRATIC ALGEBRA
• 年，卷（期）: 2012,（9）
• 页码范围: 923-926
• 页数: 4页
• 分类号: O1

摘要

Hamieh and Abbas [1] propose using a 3-dimensional real algebra in a solution of the Dirac equation. We show that this algebra, denoted by , belongs to a large class of quadratic Jordan algebras with subalgebras isomorphic to the complex numbers and that the spinor matrices associated with the solution of the Dirac equation generate a six-dimensional real noncommutative Jordan algebra.